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19 Views

Question : Simplify the following expression.
$\frac{x^2-2 x-63}{x^2+14 x+49}$

Option 1: $\frac{x+9}{x+7}$

Option 2: $\frac{x-7}{x+7}$

Option 3: $\frac{x+7}{x-7}$

Option 4: $\frac{x-9}{x+7}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{x-9}{x+7}$


Solution : Given:
$\frac{x^2-2 x-63}{x^2+14 x+49}$
= $\frac{(x^2-2 x+1)-64}{x^2+2×x×7+7^2}$
= $\frac{(x-1)^2-8^2}{(x+7)^2}$
= $\frac{(x+7)(x-9)}{(x+7)^2}$
= $\frac{(x-9)}{(x+7)}$
Hence, the correct answer is $\frac{(x-9)}{(x+7)}$.

7 Views

Question : Which country became the first to recognise "orphanage trafficking" as a form of modern slavery?

Option 1: Canada

Option 2: Spain

Option 3: Australia

Option 4: Japan

Team Careers360 25th Jan, 2024

Correct Answer: Australia


Solution : The correct answer is Australia.

Australia has recently approved the modern slavery bill in both houses of its Parliament. This paves the way for a significant legal change, making Australia the first country globally to officially acknowledge orphanage trafficking as a form of modern-day slavery.

11 Views

Question : Kamrup is an ancient name of which region of India?

Option 1: Bihar

Option 2: Rajasthan

Option 3: Karnataka

Option 4: Assam

Team Careers360 24th Jan, 2024

Correct Answer: Assam


Solution : The correct option is Assam.

Assam was once known as Kamrup in ancient times. It was located in present-day Western Assam, between the Manas and Barnadi Rivers, and is comparable to the ancient "Kamapitha". In mythology, it was known as Pragjyotisha.

7 Views

Question : Directions: Select the option figure in which the given figure is embedded (rotation is not allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, it is evident that the given question figure is embedded only in the third option figure.

Hence,

25 Views

Question : Zero hour is at the discretion of 

Option 1: Prime Minister

Option 2: Speaker

Option 3: Opposition leader

Option 4: President

Team Careers360 25th Jan, 2024

Correct Answer: Speaker


Solution : The correct option is Speaker.

 

Zero Hour in the Parliament is a special time during a session when MPs can bring up important issues without giving prior notice. The Speaker of the Lok Sabha decides when it happens and how much time is devoted to

18 Views

Question : $\tan(θ -14\pi)$ is equal to:

Option 1: $\tan \theta$

Option 2: $-\cot \theta$

Option 3: $\cot \theta$

Option 4: $-\tan \theta$

Team Careers360 25th Jan, 2024

Correct Answer: $\tan \theta$


Solution : The function $\tan(θ)$ has a period of $\pi$.
This means that for any integer $n$, the value of $\tan(n\pi-θ ) =-\tanθ$
$\tan(θ - 14\pi)=\tan(-(2\times 7\pi-\theta))$
$=-\tan(2\times 7\pi-\theta)=-\times (-\tanθ)$
$\therefore \tan(θ - 14\pi)=\tanθ$
Hence, the correct answer is $\tanθ$.

21 Views

Question : V. Satyanarayana Sarma, a Padma Shri awardee, was recognised for which of the following dance forms?

Option 1: Odissi

Option 2: Bharatanatyam

Option 3: Kathak

Option 4: Kuchipudi

Team Careers360 24th Jan, 2024

Correct Answer: Kuchipudi


Solution : The correct option is Kuchipudi.

V. Satyanarayana Sarma, a Padma Shri awardee, was recognized for the classical dance form of Kuchipudi. Kuchipudi is a traditional Indian dance form that originated in the state of Andhra Pradesh, India. It combines elements of dance, music, and acting

12 Views

Question : The statement below has been given with bracketed text. Select the option with correct idiom for the bracketed text.

That new budget bill was (totally useless) before it hit the Senate.

Option 1: a cry wolf

Option 2: a dead duck

Option 3: cold feet

Option 4: a fuel to the fire

Team Careers360 25th Jan, 2024

Correct Answer: a dead duck


Solution : The correct choice is the second option.

The idiom a dead duck is used to describe something that is certain to fail or is already a failure. In the context of the sentence, it implies that the budget bill was ineffective and had

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